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Simplifying 4v + -31 = -4(1 + -8v) + -1v Reorder the terms: -31 + 4v = -4(1 + -8v) + -1v -31 + 4v = (1 * -4 + -8v * -4) + -1v -31 + 4v = (-4 + 32v) + -1v Combine like terms: 32v + -1v = 31v -31 + 4v = -4 + 31v Solving -31 + 4v = -4 + 31v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-31v' to each side of the equation. -31 + 4v + -31v = -4 + 31v + -31v Combine like terms: 4v + -31v = -27v -31 + -27v = -4 + 31v + -31v Combine like terms: 31v + -31v = 0 -31 + -27v = -4 + 0 -31 + -27v = -4 Add '31' to each side of the equation. -31 + 31 + -27v = -4 + 31 Combine like terms: -31 + 31 = 0 0 + -27v = -4 + 31 -27v = -4 + 31 Combine like terms: -4 + 31 = 27 -27v = 27 Divide each side by '-27'. v = -1 Simplifying v = -1
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